This is multiple choice

which situations are modeled by linear functions ?

((choose all that are correct ))

a) the cost of a bottle of milk increased by 4% each month
××
b) the amount of water in a jug decreases by 4.5 oz every 30 mins
××
c) the birds flew at a steady speed of 20 mph
××
d) jans age is twice franks age, frank's age is twice ricos age, and rico's age is twice madisons age.
××
e)ebony's quiz score increased 5 points every week until she reached the maximum quiz score of 60

A linear function makes a line. So, you use y=mx+b.

The answers are:

a

b

d

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

how am i supposed to answer

step-by-step explanation: